Results 1 to 10 of about 1,791 (221)

The exact renormalization group and dimensional regularization

International Journal of Modern Physics A, 2022
The exact renormalization group (ERG) is formulated implementing the decimation of degrees of freedom by means of a particular momentum integration measure. The definition of this measure involves a distribution that links this decimation process with the dimensional regularization technique employed in field theory calculations. Taking the dimension [
Trinchero, Roberto
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On ambiguities and divergences in perturbative renormalization group functions

Journal of High Energy Physics, 2021
There is an ambiguity in choosing field-strength renormalization factors in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme starting from the 3-loop order in perturbation theory.
Florian Herren, Anders Eller Thomsen
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General quartic β-function at three loops

Journal of High Energy Physics
We determine the three-loop MS ¯ $$ \overline{\textrm{MS}} $$ quartic β-function for the most general renormalisable four-dimensional theories. A general parametrisation of the β-function is compared to known β-functions for specific theories to fix all ...
Tom Steudtner, Anders Eller Thomsen
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Mingling of the infrared and ultraviolet and the “cosmological constant” for interacting QFT in 2d

Journal of High Energy Physics, 2023
We propose a proper definition of the vacuum expectation value of the stress energy tensor 〈0| T μν | 0〉 for integrable quantum field theories in two spacetime dimensions, which is the analog of the cosmological constant in 4d.
André LeClair
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The three-loop anomalous dimension and the four-loop β-function for N $$ \mathcal{N} $$ = 1 SQED regularized by higher derivatives

Journal of High Energy Physics, 2022
For N $$ \mathcal{N} $$ = 1 SQED with N f flavors regularized by higher derivatives in the general ξ-gauge we calculate the three-loop anomalous dimension of the matter superfields defined in terms of the bare coupling constant and demonstrate its gauge ...
I. E. Shirokov, K. V. Stepanyantz
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Dimensional regularization and the renormalization group [PDF]

Nuclear Physics B, 1973
Abstract The behaviour of a renormalized field theory under scale transformations x → λx; p → p/λ can be found in a simple way when the theory is regularized by the continuous dimension method. The techniques proposed here have several applications in dimensionally regularized theories: short distance behaviour is expressed in terms of the single ...
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Two-loop running in the bosonic SMEFT using functional methods

Journal of High Energy Physics
The next goalpost in precision calculations for physics beyond the Standard Model is determining the two-loop renormalization group (RG) equations in the Standard Model Effective Field Theory (SMEFT).
Lukas Born, Javier Fuentes-Martín, Sandra Kvedaraite, Anders Eller Thomsen   +3 more
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Regularization and Renormalization of Chern-Simons Theory [PDF]

, 1993
We analyze some features of the perturbative quantization of Chern-Simons theory (CST) in the Landau gauge. In this gauge the theory is known to be perturbatively finite. We consider the renormalization scheme in which the renormalized parameter $k$ equals the bare or classical one and show that it constitutes a natural parametrization for the quantum ...
Ruiz Ruiz, Fernando, Giavarini, G., Martin, C. P.   +2 more
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Running couplings from adiabatic regularization

Physics Letters B, 2019
We extend the adiabatic regularization method by introducing an arbitrary mass scale μ in the construction of the subtraction terms. This allows us to obtain, in a very robust way, the running of the coupling constants by demanding μ-invariance of the ...
Antonio Ferreiro, Jose Navarro-Salas
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From operator product expansion to anomalous dimensions

Journal of High Energy Physics
We propose a new method for computing the renormalization functions, which is based on the ideas of operator product expansion and large momentum expansion.
Rijun Huang, Qingjun Jin, Yi Li
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